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133736413 is a prime number
BaseRepresentation
bin1111111100010…
…10011111011101
3100022122111212111
413332022133131
5233214031123
621134234021
73212512036
oct776123735
9308574774
10133736413
1169544168
1238955911
1321926395
1413a93a8d
15bb1a90d
hex7f8a7dd

133736413 has 2 divisors, whose sum is σ = 133736414. Its totient is φ = 133736412.

The previous prime is 133736377. The next prime is 133736419. The reversal of 133736413 is 314637331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103673124 + 30063289 = 10182^2 + 5483^2 .

It is an emirp because it is prime and its reverse (314637331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 133736413 - 225 = 100181981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133736419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66868206 + 66868207.

It is an arithmetic number, because the mean of its divisors is an integer number (66868207).

Almost surely, 2133736413 is an apocalyptic number.

It is an amenable number.

133736413 is a deficient number, since it is larger than the sum of its proper divisors (1).

133736413 is an equidigital number, since it uses as much as digits as its factorization.

133736413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 31.

The square root of 133736413 is about 11564.4460740668. The cubic root of 133736413 is about 511.3872432797.

The spelling of 133736413 in words is "one hundred thirty-three million, seven hundred thirty-six thousand, four hundred thirteen".